For a given cell, a 0.1 molar solution has a resistance of \(20 \ \Omega\) and molar conductivity of \(0.154 \times 10^{-3} S~cm^2~mol^{-1} \).
The value of the cell constant is:
1. \(3.08 \times 10^{-7} cm^{-1}\) 2. \(30.8 \times 10^{-7} cm^{-1}\)
3. \(0.308 \times 10^{-9} cm^{-1}\) 4. \(4.08 \times 10^{-6} cm^{-1}\)

Subtopic:  Conductance & Conductivity |
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Level 2: 60%+
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What is the nearest integer value of \(x\) for the Gibbs free energy change at 298 K, expressed as \(x×10^{−1}~kJ mol^{−1}\) for the given reaction.
\(Cu(s)+Sn^{2+}(0.001 M)\rightarrow Cu^{2+}(0.01M)+Sn(s) \)
Given: \(\small{E^\ominus_{Cu^{2+}/Cu}=0.34~V;~E^\ominus_{Sn^{2+}/Sn}=-0.14~V;~F=96500~C~mol^{-1}}\)
1. 873 
2. 983
3. 1002
4. 911

Subtopic:  Relation between Emf, G, Kc & pH |
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Level 3: 35%-60%
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The limiting molar conductivities of Nal, NaNO3, and AgNO3 are \(\text { 12. } 7 \mathrm{~Sm}^2 \mathrm{~mole}^{-2}, 12 \mathrm{~Sm}^2 \mathrm{~mole}^{-2}\) and \(\text { 13.3 } \mathrm{Sm}^2 \mathrm{~mole}^{-2}\) respectively (all at 25°C). The limiting molar conductivity of Agl at this temperature is:

1.  \(14~S~m^2mole^{-2}\)
2.  \(16~S~m^2mole^{-2}\)
3.  \(48~S~m^2mole^{-2}\)
4. \(12.6~S~m^2mole^{-2}\)
Subtopic:   Kohlrausch Law & Cell Constant |
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Level 1: 80%+
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How many elements can liberate H2 from dilute acids?
V, Cr, Mn, Fe, Co, Ni, Cu

1. 5
2. 4
3. 2
4. 6
Subtopic:  Electrochemical Series |
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Level 3: 35%-60%
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Consider the following cell representation:

Pt/H2(1 atm)/H+(1 M) || Fe+3/Fe+2

The ratio of the concentration of Fe+2 to Fe+3 is-
[Given Ecell = 0.712, E0cell = 0.771]

1. 12 
2. 10
3. 16
4. 8 
Subtopic:  Nernst Equation |
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Level 1: 80%+
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For a given reaction in an acidic medium,
\(\small{5 e^{-}+8 H^{+} \ + \ Mn O_4^{-}(0.001 \ M) \rightarrow \mathrm{Mn}^{2+}(0.1 \ M) \ + \ 4 \mathrm{H}_2 \mathrm{O}} \)
(Given values are: \(E_{cell}^o \) = 1.54 V, \(E_{cell} \) = 1.2832 V)

The \(pH\) of the solution is: 

1. 2.46
2. 3.52
3. 6.38
4. 1.02
Subtopic:  Relation between Emf, G, Kc & pH |
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For a given cell at T K, 

\(Pt/H_2 (g)(1 \ bar)/H^+(1 \ M) \ || \ Fe^{3+} /Fe^{2+}/Pt \)

E cell = 0.712 V
E0 cell = 0.770 V
If \([Fe^{2+}] \over [Fe^{3+}]\) is t, then the value of t in the expression \(({t \over 5})\) is: 

(Given: \(({2.303 ~RT \over F} = 0.058) \))

1. 4
2. 6
3. 2
4. 1
Subtopic:  Nernst Equation |
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Level 2: 60%+
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How many moles of electrons are required to reduce 1 mole of permanganate ions into manganese dioxide?

1. 3
2. 6
3. 4
4. 7
Subtopic:  Faraday’s Law of Electrolysis |
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The resistivity of a 0.8 M solution of an electrolyte is 5×10−3 Ω cm. If λm is 2.5×10x,
the value of x is:
1. 4
2. 8
3. 5
4. 9
Subtopic:  Conductance & Conductivity |
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For a cell reaction involving  a two-electron change, the standard Emf of the cell is found to be 0.295V at 25oC . The equilibrium constant of the reaction at 25oC will be: 

1. \(1 \times 10^{-10}\) 2.  \(29.5 \times 10^{-2}\)
3. \(10\) 4. \(1 \times 10^{10}\)
Subtopic:  Relation between Emf, G, Kc & pH |
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